On the wildness of cambrian lattices
Representation Theory
2017-04-07 v1 Combinatorics
Abstract
In this note, we investigate the representation type of the cambrian lattices and some other related lattices. The result is expressed as a very simple trichotomy. When the rank of the underlined Coxeter group is at most 2, the lattices are of finite representation type. When the Coxeter group is a reducible group of type A 3 1 , the lattices are of tame representation type. In all the other cases they are of wild representation type.
Keywords
Cite
@article{arxiv.1704.01861,
title = {On the wildness of cambrian lattices},
author = {Frédéric Chapoton and Baptiste Rognerud},
journal= {arXiv preprint arXiv:1704.01861},
year = {2017}
}